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Berman, G. P.
A non-linear resonance in a system of surface-state electrons bound to the helium surface / G. P. Berman, A. R. Kolovsky, G. M. Zaslavsky // Phys. Lett. A. - 1984. - Vol. 105, Is. 9. - P. 483-486, DOI 10.1016/0375-9601(84)91042-9. - Cited References: 24 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary

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Держатели документа:
L.V. Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
ИФ СО РАН
Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Zaslavsky, G. M.; Заславский, Георгий Моисеевич; Берман, Геннадий Петрович
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Gluck, M.
A quantum cable car for Wannier-Stark ladders / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Lett. A. - 2000. - Vol. 276, Is. 1-4. - P. 167-174, DOI 10.1016/S0375-9601(00)00656-3. - Cited References: 13 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
DYNAMIC LOCALIZATION
   BLOCH PARTICLE
   AC FIELDS
   DC
   STATES
   STATISTICS
   LIFETIME
Кл.слова (ненормированные):
Wannier-Stark ladder -- induced transitions -- Induced transitions -- Wannier-Stark ladder -- article -- energy -- oscillation -- quantum mechanics -- time -- transport kinetics
Аннотация: This Letter studies the dynamics of transitions between the levels of a Wannier-Stark ladder induced by a resonant periodic driving. The analysis of the problem is done in terms of resonance quasienergy states, which take into account the metastable character of the Wannier-Stark states. It is shown that the periodic driving creates from a localized Wannier-Stark state an extended Bloch-like state with a spatial length varying in time as similar to t(1/2). Such a state can find applications in the field of atomic optics because it generates a coherent pulsed atomic beam. (C) 2000 Elsevier Science B.V. All rights reserved.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
L.V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
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Berman, G. P.
A quantum nonlinear resonance with account of relaxation processes / G. P. Berman, A. R. Kolovsky // Physica A. - 1987. - Vol. 141, Is. 2-3. - P. 602-612, DOI 10.1016/0378-4371(87)90186-5. - Cited References: 12 . - ISSN 0378-4371

РУБ Physics, Multidisciplinary

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Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Берман, Геннадий Петрович
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Kolovsky, A. R.
A remark on the problem of quantum-classical correspondence in the case of chaotic dynamics - reply / A. R. Kolovsky // Europhys. Lett. - 1995. - Vol. 29, Is. 8. - P. 655-655, DOI 10.1209/0295-5075/29/8/012. - Cited References: 1 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary

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Доп.точки доступа:
Коловский, Андрей Радиевич
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Atomic current across an optical lattice / A. V. Ponomarev [et al.] // Phys. Rev. Lett. - 2006. - Vol. 96, Is. 5. - Ст. 50404, DOI 10.1103/PhysRevLett.96.050404. - Cited References: 18 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary

Кл.слова (ненормированные):
Crystal lattices -- Electric conductance -- Fermions -- Switches -- Atomic current -- Microscopic dynamics -- Optical lattices -- Atomic physics
Аннотация: We devise a microscopic model for the emergence of a collision-induced, fermionic atomic current across a tilted optical lattice. Tuning the-experimentally controllable-parameters of the microscopic dynamics allows us to switch from Ohmic to negative differential conductance.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Tech Univ Munich, Dept Phys, D-85747 Garching, Germany
ИФ СО РАН
Max-Planck-Institut fur Physik Komplexer Systeme, Nothnitzer Stra?e 38, 01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Physik Department, Technische Universitat Munchen, James-Franck-Stra?e, 85747 Garching, Germany

Доп.точки доступа:
Ponomarev, A. V.; Madronero, J.; Kolovsky, A. R.; Коловский, Андрей Радиевич; Buchleitner, A.
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Atomic current in optical lattices: Reexamination of the Esaki-Tsu equation / A. R. Kolovsky // Phys. Rev. A. - 2008. - Vol. 77, Is. 6. - P063604, DOI 10.1103/PhysRevA.77.063604. - Cited Reference Count: 13 . - JUN. - ISSN 1050-2947
Кл.слова (ненормированные):
Atomic physics -- Atoms -- Crystal lattices -- Optical materials -- Standards -- Systems analysis -- Velocity control -- American Physical Society (APS) -- Drift currents -- Master equations -- Optical lattices (OL) -- standard form -- Velocity distribution
Аннотация: This paper discusses the master equation approach to the derivation of the Esaki-Tsu equation for drift current. It is shown that the relaxation term in the master equation can be identified by measuring the velocity distribution of the carriers. We also show that the standard form of the relaxation term, used earlier to derive the Esaki-Tsu equation, predicts unphysical velocity distribution. We suggest a more elaborate relaxation term, which is argued to correctly capture the effect of a bosonic bath in experiments on atomic current in optical lattices.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич
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Kolovsky, A. R.
Atomtronics: Landauer-Büttiker equation for bosonic carriers / A. R. Kolovsky, S. M. Wimberger // Humboldt Kolleg. Controlling quantum matter: From ultracold atoms to solids : conference materials. - 2018

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Доп.точки доступа:
Wimberger, Sandro; Коловский, Андрей Радиевич; Controlling quantum matter: From ultracold atoms to solids, Humboldt Kolleg(2018 ; July 29 - August 2 ; Vilnius, Lithuania); Vilnius UniversityLithuanian Physical Society
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Muraev, P. S.
Ballistic transport of interacting Bose particles in a tight-binding chain / P. S. Muraev, D. N. Maksimov, A. R. Kolovsky // Phys. Rev. E. - 2022. - Vol. 106, Is. 6. - Ст. 064203, DOI 10.1103/PhysRevE.106.064203. - Cited References: 30. - This work has been supported by Russian Science Foundation through Grant No. N19-12-00167 . - ISSN 2470-0045. - ISSN 2470-0053
Кл.слова (ненормированные):
Bosons -- Quantum chemistry -- Transport properties
Аннотация: It is known that the quantum transport of noninteracting Bose particles across a tight-binding chain is ballistic in the sense that the current does not depend on the chain length. We address the question whether the transport of strongly interacting bosons can be ballistic as well. We find such a regime and show that, classically, it corresponds to the synchronized motion of local nonlinear oscillators. It is also argued that, unlike the case of noninteracting bosons, the transporting state responsible for the ballistic transport of interacting bosons is metastable, i.e., the current decays in the course of time. An estimate for the decay time is obtained.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation
School of Engineering Physics and Radio Electronics, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
IRC SQC, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Мураев, Павел Сергеевич
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Kolovsky, A. R.
Bistability and chaos-assisted tunneling in dissipative quantum systems / A. R. Kolovsky // Phys. Rev. E. - 2022. - Vol. 106, Is. 1. - Ст. 014209, DOI 10.1103/PhysRevE.106.014209. - Cited References: 21. - The author acknowledges financial support from the Russian Science Foundation through Grant No. 19-12-00167 . - ISSN 2470-0045
Кл.слова (ненормированные):
Bi-stability -- Chaos-assisted tunneling -- Dissipative quantum systems -- Double resonance -- Driving frequencies -- Limit-cycle -- Multistability -- Non-linear oscillators -- Quantum limit -- Resonance model
Аннотация: We revisit the problem of quantum bi- and multistability by considering the dissipative double resonance model. For a large driving frequency, this system has a simpler phase structure than the driven dissipative nonlinear oscillator, the paradigm model for classical and quantum bistability. This allows us to obtain an analytical estimate for the lifetime of quantum limit cycles. On the other hand, for a small driving frequency, the system is much richer than the nonlinear oscillator. This allows us to address a novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limits cycles.

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Держатели документа:
Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
}
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10.

    Bloch oscillations of Bose-Einstein condensates: Quantum counterpart of dynamical instability / A. R. Kolovsky, H. J. Korsch, E. M. Graefe // Phys. Rev. A. - 2009. - Vol. 80, Is. 2, DOI 10.1103/PhysRevA.80.023617. - Cited Reference Count: 35. - Гранты: We thank D. Witthaut and F. Trimborn for valuable comments. Support from the Deutsche Forschungsgemeinschaft via the Graduiertenkolleg "Nichtlineare Optik und Ultrakurzzeitphysik" is gratefully acknowledged. - Финансирующая организация: Deutsche Forschungsgemeinschaft . - ISSN 1050-2947
Рубрики:
OPTICAL LATTICE
   ATOMS
Кл.слова (ненормированные):
Bloch dynamics -- Bloch oscillations -- Bogoliubov -- Bose-Einstein condensates -- Chaotic dynamics -- Cold atoms -- Decoherence -- Dinger equation -- Dynamical instabilities -- Equipartition -- Hubbard -- Mean-field -- Optical lattices -- Quantum counterpart -- Quasi-one-dimensional -- Quasimomentum -- Bose-Einstein condensation -- Hamiltonians -- Nonlinear equations -- Steam condensers -- Stability
Аннотация: We study the Bloch dynamics of a quasi-one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type. The corresponding mean-field system described by a discrete nonlinear Schrodinger equation can exhibit dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown that these phenomena are related to Bogoliubov's depletion of the Bose-Einstein condensate and a decoherence of the condensate in the many-particle description. Three types of dynamics are distinguished: (i) decaying oscillations in the region of dynamical instability and (ii) persisting Bloch oscillations or (iii) periodic decay and revivals in the region of stability.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660036, Russia
Tech Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.; Graefe, E. M.
}
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11.

Gluck, M.
Bloch particle in the presence of dc and ac fields / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Lett. A. - 1998. - Vol. 249, Is. 5-6. - P. 483-488, DOI 10.1016/S0375-9601(98)00763-4. - Cited References: 21 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary
Рубрики:
DYNAMIC LOCALIZATION
ELECTRONS
ATOMS
Кл.слова (ненормированные):
Wannier-Bloch states -- quantum chaos
Аннотация: In this Letter we study the metastable states of a Bloch particle in the presence of external ac and de fields. For the resonance condition between the period of the driving frequency and the Bloch period, the complex quasi-energies are numerically calculated for two qualitatively different regimes (quasi-regular and chaotic) of the system dynamics. For the chaotic regime an effect of quantum stabilization, which suppresses the classical decay mechanism, is found. This effect is demonstrated to be a kind of quantum phenomenon sensitive to the resonance condition. (C) 1998 Elsevier Science B.V.

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
Fachbereich Physik, Universitat Kaiserslautern, D-67653 Kaiserslautern, Germany
L.V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
}
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12.

Gluck, M.
Bloch particle in the presence of dc and ac fields: Statistics of the Wigner delay time / M. . Gluck, A. R. Kolovsky, H. J. Korsch // Phys. Rev. Lett. - 1999. - Vol. 82, Is. 7. - P. 1534-1537, DOI 10.1103/PhysRevLett.82.1534. - Cited References: 9 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:

Аннотация: The paper studies quantum states of a Bloch particle in the presence of external ac and de fields. Provided the period of the ac field and the Bloch period are commensurate, an effective scattering matrix is introduced, the complex poles of which are the system quasienergy spectrum. The statistics of the resonance width and the Wigner delay time shows a close relation of the problem to random matrix theory of chaotic scattering.[S0031 -9007(99)08408-2].

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Держатели документа:
Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.
}
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13.

Kolovsky, A. R.
Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder / A. R. Kolovsky // Phys. Rev. A. - 2017. - Vol. 95, Is. 3. - Ст. 033622, DOI 10.1103/PhysRevA.95.033622. - Cited References: 31. - The author acknowledges discussions with A. Eckardt, the hospitality of MPIPKS in Dresden, and financial support from Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, and Krasnoyarsk Region Science and Technology Support Fund through Grant No. 16-42-240746. . - ISSN 1050-2947
Кл.слова (ненормированные):
Bosons -- Crystal lattices -- Ladders -- Optical lattices -- Bogoliubov -- Dispersion relations -- Interacting bosons -- Ultracold atoms -- Ground state
Аннотация: We theoretically analyze the ground state of weakly interacting bosons in the flux ladder - the system that has been recently realized by means of ultracold atoms in the specially designed optical lattice [M. Atala, M. Aidelsburger, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Nat. Phys. 10, 588 (2014)1745-247310.1038/nphys2998]. It is argued that, for the system parameters corresponding to two degenerate minima in the Bloch dispersion relation, the ground state is a fragmented condensate. We study the Bogoliubov depletion of this condensate and discuss the role of boundary conditions. © 2017 American Physical Society.

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Держатели документа:
Kirensky Institute of Physics, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Коловский, Андрей Радиевич
}
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14.

Kolovsky, A. R.
Bose-Einstein Condensates on Tilted Lattices: Co herent, chaotic, and subdiffusive dynamics [Text] / Kolovsky A.R., Gomez E.A., Korsch H.J. // Phys. Rev. A. - 2010. - Vol. 81. - P025603-4

Держатели документа:
Института физики им. Л.В. Киренского СО РАН

Доп.точки доступа:
Gomez, E.A.; Korsch, H.J.; Коловский, Андрей Радиевич
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15.

Kolovsky, A. R.
Bose-Hubbard Hamiltonian: Quantum Chaos Approach / A. R. Kolovsky // Worksh. Bose-Einstein condens. and quant. chaos. - 2015

Материалы конференции

Доп.точки доступа:
Коловский, Андрей Радиевич; Workshop On Bose-Einstein Condensation and Quantum Chaos(2015 ; 30 Mart-2 Apr. ; Sao Paulo, Brasil)
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16.

    Kolovsky, A. R.
    Bose-Hubbard Hamiltonian: Quantum chaos approach / A. R. Kolovsky // Int. J. Mod. Phys. B. - 2016. - Vol. 30, Is. 10. - Ст. 1630009, DOI 10.1142/S0217979216300097. - Cited References:42 . - ISSN 0217-9792. - ISSN 1793-6578
   Перевод заглавия: Гамильтониан Бозе-Хаббарда: подход с точки зрения квантового хаоса

РУБ Physics, Applied + Physics, Condensed Matter + Physics, Mathematical
Рубрики:
Optical lattice
   Dynamics
   Atoms
   States
   Model
Кл.слова (ненормированные):
Cold atoms in optical lattices -- quantum transport -- nonlinear dynamics and chaos
Аннотация: We discuss applications of the theory of quantum chaos to one of the paradigm models of many-body quantum physics - the Bose-Hubbard (BH) model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the BH model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations (BOs) of cold atoms where a number of experimental results are available. The paper is written for nonexperts and can be viewed as an introduction to the field.

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Коловский, Андрей Радиевич
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17.

Kolovsky, A. R.
Bright Solitons and Self-Trapping with a Bose-Einstein Condensate of Atoms in Dri ven Tilted Optical Lattices [Text] / Andrey R. Kolovsky // Phys. Rev. A. - 2010. - Vol. 82. - P011601-4(R)

Доп.точки доступа:
Коловский, Андрей Радиевич
Свободных экз. нет}
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18.

Chaotic and regular dynamics in the three-site Bose-Hubbard model / A. A. Bychek, P. S. Muraev, D. N. Maksimov [et al.] // AIP Conf. Proc. - 2020. - Vol. 2241. - Ст. 020007DOI 10.1063/5.0011540. - Cited References: 30. - This work has been supported through Russian Science Foundation Grant N19-12-00167
Аннотация: We analyze the energy spectrum of the three-site Bose-Hubbard model. It is shown that this spectrum is a mixture of the regular and irregular spectra associated with the regular and chaotic components of the classical Bose-Hubbard model. We find relative volumes of these components by using the pseudoclassical approach. Substituting these values in the Berry-Robnik distribution for the level spacing statistics we obtain good agreement with the numerical data.

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Держатели документа:
L.V. Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation
Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
M.F. Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russian Federation

Доп.точки доступа:
Bychek, A. A.; Бычек, Анна Андреевна; Muraev, P. S.; Мураев, Павел Сергеевич; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; International Conference on Quantum Technologies(5th ; 15 - 19 July 2019 ; Moscow)
}
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19.

Kolovsky, A. R.
Condition of correspondence between quantum and classical dynamics for a chaotic system / A. R. Kolovsky // Phys. Rev. Lett. - 1996. - Vol. 76, Is. 3. - P. 340-343, DOI 10.1103/PhysRevLett.76.340. - Cited References: 18 . - ISSN 0031-9007

РУБ Physics, Multidisciplinary
Рубрики:
STANDARD MAP
STATE
Аннотация: The paper deals with the dynamics of a semiclassical system under the influence of the environment. The effect of the environment is shown to convert the quantum dynamics of the system into the classical one. The condition of correspondence between quantum and classical dynamics is obtained and checked numerically.

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Держатели документа:
L. V. Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
ИФ СО РАН

Доп.точки доступа:
Коловский, Андрей Радиевич
}
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20.

Conductance transition with interacting bosons in an Aharonov-Bohm cage / A. R. Kolovsky, P. S. Muraev, S. Flach // Phys. Rev. A. - 2023. - Vol. 108, Is. 1. - Ст. L010201, DOI 10.1103/PhysRevA.108.L010201. - Cited References: 33. - We thank A. Andreanov for useful discussions. This work was supported by the Institute for Basic Science, Project Code (Project No. IBS-R024-D1). P.S.M. acknowledges financial support of the Ministry of Science and High Education of the Russian Federation through Grant No. FSRZ-2023-0006 . - ISSN 2469-9926. - ISSN 2469-9934
Аннотация: We study the transport of interacting bosons through an Aharonov-Bohm cage—a building block of flat-band networks—with coherent pump and sink leads. In the absence of interactions the cage is insulating due to destructive interference. We find that the cage stays insulating up to a critical value of the pump strength in the presence of mean-field interactions, while the quantum regime induces particle pair transport and weak conductance below the critical pump strength. A swift crossover from the quantum into the classical regime upon further pump strength increase is observed. We solve the time-dependent master equations for the density matrix of the many-body problem in the classical, pure quantum, and pseudoclassical regimes. We start with an empty cage and switch on driving. We characterize the transient dynamics, and the complexity of the resulting steady states and attractors. Our results can be readily realized using experimental platforms involving interacting ultracold atoms, superconducting circuits, and photons on fine-tuned optical lattices.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
School of Engineering Physics and Radio Electronics, Siberian Federal University, 660041 Krasnoyarsk, Russia
Center for Theoretical Physics of Complex Systems, Institute for Basic Science, 34126 Daejeon, Republic of Korea
IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Muraev, P. S.; Мураев, Павел Сергеевич; Flach, S.
}
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